T. Banakh

activity

20062025

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 687 across the 231 of their papers we have counts for

collaborators

Showing 2019Show all

29 papers · 1 filter

math.GN2019★ 5 cited

The Golomb space is topologically rigid

Taras Banakh, Dario Spirito, Sławomir Turek

The $G o l o mb$ $s p a ce$ $N_{τ}$ is the set $N$ of positive integers endowed with the topology $τ$ generated by the base consisting of arithmetic progressions $\{a+bn:n\g…

math.FA2019★ 10 cited

Any isometry between the spheres of absolutely smooth $2$ -dimensional Banach spaces is linear

Taras Banakh

We prove that any isometry between the unit spheres of $C^{2}$ -smooth (more generally, absolutely smooth) smooth Banach spaces extends to a linear isometry of the Banach spaces. This…

math.GN2019★ 1 cited

On $κ$ -bounded and $M$ -compact reflections of topological spaces

Taras Banakh

For a topological space $X$ its reflection in a class $T$ of topological spaces is a pair $(T X, i_{X})$ consisting of a space $T X \in T$ and continuous…

math.GN2019

Lusin and Suslin properties of function spaces

Taras Banakh, Leijie Wang

A topological space is $S u s l in$ ( $Lu s in$ ) if it is a continuous (and bijective) image of a Polish space. For a Tychonoff space $X$ let $C_{p} (X)$ , $C_{k} (X)$ and $C_{↓ F} (X)$ …

math.GN2019★ 3 cited

The Lawson number of a semitopological semilattice

Taras Banakh, Serhii Bardyla, Oleg Gutik

For a Hausdorff topologized semilattice $X$ its $L a w so n n u mb er$ $Λ ˉ (X)$ is the smallest cardinal $κ$ such that for any distinct points $x, y \in X$ there exists a family $\mat…

math.GN2019★ 1 cited

Minmax bornologies

Taras Banakh, Igor Protasov

A bornology $B$ on a set $X$ is called minmax if the smallest and the largest coarse structures on $X$ compatible with $B$ coincide. We prove that $B$ …